3(x+10)-14=7(2x+4)+x

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Solution for 3(x+10)-14=7(2x+4)+x equation: 


Simplifying
3(x + 10) + -14 = 7(2x + 4) + x

Reorder the terms:
3(10 + x) + -14 = 7(2x + 4) + x
(10 * 3 + x * 3) + -14 = 7(2x + 4) + x
(30 + 3x) + -14 = 7(2x + 4) + x

Reorder the terms:
30 + -14 + 3x = 7(2x + 4) + x

Combine like terms: 30 + -14 = 16
16 + 3x = 7(2x + 4) + x

Reorder the terms:
16 + 3x = 7(4 + 2x) + x
16 + 3x = (4 * 7 + 2x * 7) + x
16 + 3x = (28 + 14x) + x

Combine like terms: 14x + x = 15x
16 + 3x = 28 + 15x

Solving
16 + 3x = 28 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
16 + 3x + -15x = 28 + 15x + -15x

Combine like terms: 3x + -15x = -12x
16 + -12x = 28 + 15x + -15x

Combine like terms: 15x + -15x = 0
16 + -12x = 28 + 0
16 + -12x = 28

Add '-16' to each side of the equation.
16 + -16 + -12x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -12x = 28 + -16
-12x = 28 + -16

Combine like terms: 28 + -16 = 12
-12x = 12

Divide each side by '-12'.
x = -1

Simplifying
x = -1

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